378483344100 has 81 divisors (see below), whose sum is σ = 1186392868297. Its totient is φ = 100923970080.

The previous prime is 378483344077. The next prime is 378483344119. The reversal of 378483344100 is 1443384873.

The square root of 378483344100 is 615210.

It is a perfect power (a square), and thus also a powerful number.

378483344100 is a `hidden beast` number, since 37 + 8 + 483 + 34 + 4 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136254003876 + 242229340224 = 369126^2 + 492168^2 .

It is a super-2 number, since 2×378483344100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18446047 + ... + 18466553.

Almost surely, 2^378483344100 is an apocalyptic number.

378483344100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378483344100 is the 615210-th square number.

It is an amenable number.

378483344100 is an abundant number, since it is smaller than the sum of its proper divisors (807909524197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378483344100 is an equidigital number, since it uses as much as digits as its factorization.

378483344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41034 (or 20517 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 378483344100 in words is "three hundred seventy-eight billion, four hundred eighty-three million, three hundred forty-four thousand, one hundred".